Results 21 to 30 of about 116 (42)
Sylvester matrix and common factors in polynomial matrices [PDF]
, 2007 With the coefficient matrices of the polynomial matrices replacing the scalar coefficients in the standard Sylvester matrix, common factors exist if and only if this (generalized) Sylvester matrix is singular and the coefficient matrices commute.
Wegge , Leon
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On the diameter of the commuting graph of the full matrix ring over the real numbers [PDF]
, 2017 In a recent paper C. Miguel proved that the diameter of the commuting graph of the matrix ring Mn(R) is equal to 4 if either n = 3 or n = 5. But the case n = 4 remained open, since the diameter could be 4 or 5.
Grau, J.M. +2 more
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Commuting Jordan Types: a Survey
, 2023 In this paper, we survey the progress in the problem of finding the maximum commuting nilpotent orbit that intersects the centralizer of a given nilpotent matrix.Comment: 17 Pages, 4 ...
Khatami, Leila
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One sided Star and Core orthogonality of matrices
, 2023 We investigate two one-sided orthogonalities of matrices, the first of which is left (right) $*$-orthogonality for rectangular matrices and the other is left (right) core-orthogonality of index $1$ matrices.
Ferreyra, D. E. +3 more
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On approximate commutativity of spaces of matrices
, 2022 The maximal dimension of commutative subspaces of $M_n(\mathbb{C})$ is known. So is the structure of such a subspace when the maximal dimension is achieved.
Omladič, Matjaž +2 more
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On singular pencils with commuting coefficients [PDF]
We investigate the relation between the spectrum of matrix (or operator) polynomials and the Taylor spectrum of its coefficients. We prove that the matrix polynomial with commuting coefficients is singular, i.e.
Koval, Vadym, Pagacz, Patryk
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Diameters of commuting graphs of matrices over semirings
, 2010 We calculate the diameters of commuting graphs of matrices over the binary Boolean semiring, the tropical semiring and an arbitrary nonentire commutative semiring.
Bukovšek, Damjana Kokol +2 more
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New invariants of stable equivalences of algebras
, 2022 We show that the Auslander-Reiten conjecture on stable equivalences holds true for principal centralizer algebras of matrices over an algebraically closed field, and that delooping levels and $\phi$-dimensions are invariants of stable equivalences of ...
Xi, Changchang, Zhang, Jinbi
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Sylvester Matrix and Common Factors in Polynomial Matrices [PDF]
With the coefficient matrices of the polynomial matrices replacing the scalar coefficients in the standard Sylvester matrix, common factors exist if and only if this (generalized) Sylvester matrix is singular and the coefficient matrices commute.
Leon Wegge
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A combinatorial method for determining the spectrum of the linear combinations of finitely many diagonalizable matrices that mutually commute [PDF]
, 2018 et $X_i$, $i=1,2,...,m$, be diagonalizable matrices that mutually commute. This paper provides a combinatorial method to handle the problem of when a linear combination matrix $X=sum_{i=1}^{m}c_iX_i$ is a matrix such that $sigma(X)subseteq{lambda_1 ...
Emre Kişi, Halim Özdemir
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